Boundary observation and exact control of a quasi-electrostatic piezoelectric system in multilayered media

摘要

We study the evolution of a layered quasi- electrostatic piezoelectric system. Under suitable assumptions on the geometry of a region and the interfaces as well as a monotonicity condition on the coefficients, we prove a boundary observation inequality which together with the Hilbert uniqueness method introduced by Lions give us a solution of the exact controllability problem for the model under study.